Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

The diagram depicts a water trough shaped like a prism. Its cross-section is an isosceles trapezium. The trough is completely full of water.
(a)[3]

Show that the trough contains 206.4 litres of water.

(b)[3]

Calculate the time taken, in minutes and seconds, for the trough to be emptied.

(c(i))[3]

Calculate the radius of the tank.

(c(ii))[2]

Calculate the height of the tank.

(d)[4]

Calculate the length of the steel rod, $AM$.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Method used: $\dfrac{(36+50)\times40}{2}$” …

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